annotate libinterp/corefcn/dassl.cc @ 23473:55916f99b8b6

prefer feval over do_multi_index_op * parse.h, oct-parse.in.yy (feval (octave_function *, const octave_value_list& args, int)): New function. * bsxfun.cc, cellfun.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, hook-fcn.h, lsode.cc, quad.cc, __eigs__.cc, __ode15__.cc: Use feval for function evaluations instead of do_multi_index_op.
author John W. Eaton <jwe@octave.org>
date Mon, 08 May 2017 13:08:11 -0400
parents 092078913d54
children 00e518162fda
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 /*
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2
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3 Copyright (C) 1996-2017 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by
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9 the Free Software Foundation; either version 3 of the License, or
3a2b891d0b33 maint: Standardize Copyright formatting.
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10 (at your option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but
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13 WITHOUT ANY WARRANTY; without even the implied warranty of
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14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 GNU General Public License for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #if defined (HAVE_CONFIG_H)
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24 # include "config.h"
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25 #endif
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26
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27 #include <string>
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28
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29 #include <iomanip>
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30 #include <iostream>
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31
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32 #include "DASSL.h"
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33
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34 #include "defun.h"
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35 #include "error.h"
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36 #include "errwarn.h"
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37 #include "ovl.h"
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38 #include "ov-fcn.h"
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39 #include "ov-cell.h"
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40 #include "pager.h"
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41 #include "parse.h"
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42 #include "unwind-prot.h"
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43 #include "utils.h"
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44 #include "variables.h"
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45
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46 #include "DASSL-opts.cc"
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47
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48 // Global pointer for user defined function required by dassl.
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49 static octave_function *dassl_fcn;
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50
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51 // Global pointer for optional user defined jacobian function.
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52 static octave_function *dassl_jac;
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53
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54 // Have we warned about imaginary values returned from user function?
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55 static bool warned_fcn_imaginary = false;
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56 static bool warned_jac_imaginary = false;
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57
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58 // Is this a recursive call?
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59 static int call_depth = 0;
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60
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61 ColumnVector
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62 dassl_user_function (const ColumnVector& x, const ColumnVector& xdot,
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63 double t, octave_idx_type& ires)
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64 {
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65 ColumnVector retval;
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66
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67 assert (x.numel () == xdot.numel ());
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68
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69 octave_value_list args;
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70
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71 args(2) = t;
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72 args(1) = xdot;
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73 args(0) = x;
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74
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75 if (dassl_fcn)
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76 {
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77 octave_value_list tmp;
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78
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79 try
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80 {
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81 tmp = octave::feval (dassl_fcn, args, 1);
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82 }
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83 catch (octave::execution_exception& e)
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84 {
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85 err_user_supplied_eval (e, "dassl");
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86 }
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87
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88 int tlen = tmp.length ();
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89 if (tlen == 0 || ! tmp(0).is_defined ())
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90 err_user_supplied_eval ("dassl");
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91
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92 if (! warned_fcn_imaginary && tmp(0).is_complex_type ())
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93 {
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94 warning ("dassl: ignoring imaginary part returned from user-supplied function");
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95 warned_fcn_imaginary = true;
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96 }
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97
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98 retval = tmp(0).vector_value ();
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99
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100 if (tlen > 1)
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101 ires = tmp(1).int_value ();
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102
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103 if (retval.is_empty ())
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104 err_user_supplied_eval ("dassl");
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105 }
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106
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107 return retval;
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108 }
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109
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110 Matrix
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111 dassl_user_jacobian (const ColumnVector& x, const ColumnVector& xdot,
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112 double t, double cj)
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113 {
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114 Matrix retval;
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115
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116 assert (x.numel () == xdot.numel ());
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117
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118 octave_value_list args;
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119
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120 args(3) = cj;
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121 args(2) = t;
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122 args(1) = xdot;
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123 args(0) = x;
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124
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125 if (dassl_jac)
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126 {
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127 octave_value_list tmp;
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128
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129 try
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130 {
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131 tmp = octave::feval (dassl_jac, args, 1);
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132 }
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133 catch (octave::execution_exception& e)
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134 {
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135 err_user_supplied_eval (e, "dassl");
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136 }
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137
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138 int tlen = tmp.length ();
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139 if (tlen == 0 || ! tmp(0).is_defined ())
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140 err_user_supplied_eval ("dassl");
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141
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142 if (! warned_jac_imaginary && tmp(0).is_complex_type ())
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143 {
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144 warning ("dassl: ignoring imaginary part returned from user-supplied jacobian function");
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145 warned_jac_imaginary = true;
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146 }
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147
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148 retval = tmp(0).matrix_value ();
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149
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150 if (retval.is_empty ())
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151 err_user_supplied_eval ("dassl");
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152 }
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153
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154 return retval;
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155 }
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156
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157 DEFUN (dassl, args, nargout,
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158 doc: /* -*- texinfo -*-
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159 @deftypefn {} {[@var{x}, @var{xdot}, @var{istate}, @var{msg}] =} dassl (@var{fcn}, @var{x_0}, @var{xdot_0}, @var{t}, @var{t_crit})
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160 Solve the set of differential-algebraic equations
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161 @tex
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162 $$ 0 = f (x, \dot{x}, t) $$
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163 with
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164 $$ x(t_0) = x_0, \dot{x}(t_0) = \dot{x}_0 $$
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165 @end tex
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166 @ifnottex
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167
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168 @example
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169 0 = f (x, xdot, t)
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170 @end example
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171
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172 @noindent
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173 with
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174
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175 @example
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176 x(t_0) = x_0, xdot(t_0) = xdot_0
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177 @end example
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178
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179 @end ifnottex
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180 The solution is returned in the matrices @var{x} and @var{xdot},
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181 with each row in the result matrices corresponding to one of the
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182 elements in the vector @var{t}. The first element of @var{t}
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183 should be @math{t_0} and correspond to the initial state of the
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184 system @var{x_0} and its derivative @var{xdot_0}, so that the first
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185 row of the output @var{x} is @var{x_0} and the first row
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186 of the output @var{xdot} is @var{xdot_0}.
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187
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188 The first argument, @var{fcn}, is a string, inline, or function handle
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189 that names the function @math{f} to call to compute the vector of
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190 residuals for the set of equations. It must have the form
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191
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192 @example
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193 @var{res} = f (@var{x}, @var{xdot}, @var{t})
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194 @end example
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195
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196 @noindent
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197 in which @var{x}, @var{xdot}, and @var{res} are vectors, and @var{t} is a
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198 scalar.
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199
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200 If @var{fcn} is a two-element string array or a two-element cell array
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201 of strings, inline functions, or function handles, the first element names
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202 the function @math{f} described above, and the second element names a
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203 function to compute the modified Jacobian
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204
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205 @tex
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206 $$
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207 J = {\partial f \over \partial x}
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208 + c {\partial f \over \partial \dot{x}}
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209 $$
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210 @end tex
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211 @ifnottex
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212
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213 @example
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214 @group
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215 df df
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216 jac = -- + c ------
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217 dx d xdot
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218 @end group
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219 @end example
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220
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221 @end ifnottex
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222
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223 The modified Jacobian function must have the form
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224
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225 @example
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226 @group
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227
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228 @var{jac} = j (@var{x}, @var{xdot}, @var{t}, @var{c})
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229
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230 @end group
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231 @end example
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232
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233 The second and third arguments to @code{dassl} specify the initial
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234 condition of the states and their derivatives, and the fourth argument
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235 specifies a vector of output times at which the solution is desired,
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236 including the time corresponding to the initial condition.
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237
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238 The set of initial states and derivatives are not strictly required to
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239 be consistent. In practice, however, @sc{dassl} is not very good at
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240 determining a consistent set for you, so it is best if you ensure that
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241 the initial values result in the function evaluating to zero.
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242
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243 The fifth argument is optional, and may be used to specify a set of
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244 times that the DAE solver should not integrate past. It is useful for
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245 avoiding difficulties with singularities and points where there is a
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246 discontinuity in the derivative.
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247
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248 After a successful computation, the value of @var{istate} will be
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249 greater than zero (consistent with the Fortran version of @sc{dassl}).
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250
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251 If the computation is not successful, the value of @var{istate} will be
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252 less than zero and @var{msg} will contain additional information.
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253
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254 You can use the function @code{dassl_options} to set optional
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255 parameters for @code{dassl}.
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256 @seealso{daspk, dasrt, lsode}
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257 @end deftypefn */)
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258 {
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259 int nargin = args.length ();
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260
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261 if (nargin < 4 || nargin > 5)
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262 print_usage ();
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263
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264 warned_fcn_imaginary = false;
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265 warned_jac_imaginary = false;
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266
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267 octave_value_list retval (4);
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268
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269 octave::unwind_protect frame;
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270
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271 frame.protect_var (call_depth);
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272 call_depth++;
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273
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274 if (call_depth > 1)
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275 error ("dassl: invalid recursive call");
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276
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277 std::string fcn_name, fname, jac_name, jname;
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278 dassl_fcn = 0;
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279 dassl_jac = 0;
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280
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281 octave_value f_arg = args(0);
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282
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parents: 20785
diff changeset
283 if (f_arg.is_cell ())
2928
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diff changeset
284 {
20802
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diff changeset
285 Cell c = f_arg.cell_value ();
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parents: 20785
diff changeset
286 if (c.numel () == 1)
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parents: 20785
diff changeset
287 f_arg = c(0);
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parents: 20785
diff changeset
288 else if (c.numel () == 2)
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parents: 20785
diff changeset
289 {
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parents: 20785
diff changeset
290 if (c(0).is_function_handle () || c(0).is_inline_function ())
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parents: 20785
diff changeset
291 dassl_fcn = c(0).function_value ();
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parents: 20785
diff changeset
292 else
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parents: 20785
diff changeset
293 {
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parents: 20785
diff changeset
294 fcn_name = unique_symbol_name ("__dassl_fcn__");
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parents: 20785
diff changeset
295 fname = "function y = ";
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parents: 20785
diff changeset
296 fname.append (fcn_name);
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diff changeset
297 fname.append (" (x, xdot, t) y = ");
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parents: 20785
diff changeset
298 dassl_fcn = extract_function (c(0), "dassl", fcn_name, fname,
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parents: 20785
diff changeset
299 "; endfunction");
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parents: 20785
diff changeset
300 }
3991
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jwe
parents: 3964
diff changeset
301
20802
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parents: 20785
diff changeset
302 if (dassl_fcn)
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parents: 20785
diff changeset
303 {
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parents: 20785
diff changeset
304 if (c(1).is_function_handle () || c(1).is_inline_function ())
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parents: 20785
diff changeset
305 dassl_jac = c(1).function_value ();
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parents: 20785
diff changeset
306 else
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
307 {
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parents: 20785
diff changeset
308 jac_name = unique_symbol_name ("__dassl_jac__");
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diff changeset
309 jname = "function jac = ";
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diff changeset
310 jname.append (jac_name);
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parents: 20785
diff changeset
311 jname.append (" (x, xdot, t, cj) jac = ");
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parents: 20785
diff changeset
312 dassl_jac = extract_function (c(1), "dassl", jac_name,
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
313 jname, "; endfunction");
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parents: 20785
diff changeset
314
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6f0bd96f93c0 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
315 if (! dassl_jac)
20802
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parents: 20785
diff changeset
316 {
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parents: 20785
diff changeset
317 if (fcn_name.length ())
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parents: 20785
diff changeset
318 clear_function (fcn_name);
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diff changeset
319 dassl_fcn = 0;
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parents: 20785
diff changeset
320 }
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parents: 20785
diff changeset
321 }
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parents: 20785
diff changeset
322 }
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parents: 20785
diff changeset
323 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
324 else
20957
9db35d2042be maint: eliminate special cases of statements after error.
Rik <rik@octave.org>
parents: 20940
diff changeset
325 error ("dassl: incorrect number of elements in cell array");
20802
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diff changeset
326 }
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parents: 20785
diff changeset
327
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6f0bd96f93c0 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
328 if (! dassl_fcn && ! f_arg.is_cell ())
20802
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parents: 20785
diff changeset
329 {
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parents: 20785
diff changeset
330 if (f_arg.is_function_handle () || f_arg.is_inline_function ())
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
331 dassl_fcn = f_arg.function_value ();
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parents: 20785
diff changeset
332 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
333 {
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
334 switch (f_arg.rows ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
335 {
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
336 case 1:
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John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
337 do
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
338 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
339 fcn_name = unique_symbol_name ("__dassl_fcn__");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
340 fname = "function y = ";
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
341 fname.append (fcn_name);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10066
diff changeset
342 fname.append (" (x, xdot, t) y = ");
20802
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parents: 20785
diff changeset
343 dassl_fcn = extract_function (f_arg, "dassl", fcn_name,
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
344 fname, "; endfunction");
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
345 }
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
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diff changeset
346 while (0);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
347 break;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
348
20802
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John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
349 case 2:
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John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
350 {
20990
fc9cca99b2de Deprecate all_strings, replace with string_vector_value.
Rik <rik@octave.org>
parents: 20974
diff changeset
351 string_vector tmp = f_arg.string_vector_value ();
3243
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jwe
parents: 3131
diff changeset
352
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
353 fcn_name = unique_symbol_name ("__dassl_fcn__");
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parents: 20785
diff changeset
354 fname = "function y = ";
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parents: 20785
diff changeset
355 fname.append (fcn_name);
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parents: 20785
diff changeset
356 fname.append (" (x, xdot, t) y = ");
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John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
357 dassl_fcn = extract_function (tmp(0), "dassl", fcn_name,
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
358 fname, "; endfunction");
3991
48d2bc4a3729 [project @ 2002-07-16 17:46:50 by jwe]
jwe
parents: 3964
diff changeset
359
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
360 if (dassl_fcn)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
361 {
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
362 jac_name = unique_symbol_name ("__dassl_jac__");
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John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
363 jname = "function jac = ";
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
364 jname.append (jac_name);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
365 jname.append (" (x, xdot, t, cj) jac = ");
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
366 dassl_jac = extract_function (tmp(1), "dassl",
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
367 jac_name, jname,
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
368 "; endfunction");
5729
e065f7c18bdc [project @ 2006-04-03 19:03:30 by jwe]
jwe
parents: 5694
diff changeset
369
20918
6f0bd96f93c0 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20909
diff changeset
370 if (! dassl_jac)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
371 {
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
372 if (fcn_name.length ())
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
373 clear_function (fcn_name);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
374 dassl_fcn = 0;
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
375 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
376 }
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
377 }
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
378 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
379 }
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
380 }
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
381
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
382 if (! dassl_fcn)
20957
9db35d2042be maint: eliminate special cases of statements after error.
Rik <rik@octave.org>
parents: 20940
diff changeset
383 return retval;
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
384
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
385 ColumnVector state = args(1).xvector_value ("dassl: initial state X_0 must be a vector");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
386
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
387 ColumnVector deriv = args(2).xvector_value ("dassl: initial derivatives XDOT_0 must be a vector");
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
388
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
389 ColumnVector out_times = args(3).xvector_value ("dassl: output time variable T must be a vector");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
390
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
391 ColumnVector crit_times;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
392 int crit_times_set = 0;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
393 if (nargin > 4)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
394 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
395 crit_times = args(4).xvector_value ("dassl: list of critical times T_CRIT must be a vector");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
396
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
397 crit_times_set = 1;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
398 }
3991
48d2bc4a3729 [project @ 2002-07-16 17:46:50 by jwe]
jwe
parents: 3964
diff changeset
399
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
400 if (state.numel () != deriv.numel ())
20957
9db35d2042be maint: eliminate special cases of statements after error.
Rik <rik@octave.org>
parents: 20940
diff changeset
401 error ("dassl: X and XDOT_0 must have the same size");
3991
48d2bc4a3729 [project @ 2002-07-16 17:46:50 by jwe]
jwe
parents: 3964
diff changeset
402
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
403 double tzero = out_times (0);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
404
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
405 DAEFunc func (dassl_user_function);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
406 if (dassl_jac)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
407 func.set_jacobian_function (dassl_user_jacobian);
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
408
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
409 DASSL dae (state, deriv, tzero, func);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
410
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
411 dae.set_options (dassl_opts);
5729
e065f7c18bdc [project @ 2006-04-03 19:03:30 by jwe]
jwe
parents: 5694
diff changeset
412
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
413 Matrix output;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
414 Matrix deriv_output;
3997
d4091aff6468 [project @ 2002-07-17 18:00:06 by jwe]
jwe
parents: 3991
diff changeset
415
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
416 if (crit_times_set)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
417 output = dae.integrate (out_times, deriv_output, crit_times);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
418 else
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
419 output = dae.integrate (out_times, deriv_output);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
420
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
421 if (fcn_name.length ())
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
422 clear_function (fcn_name);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
423 if (jac_name.length ())
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424 clear_function (jac_name);
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425
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426 std::string msg = dae.error_message ();
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427
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428 if (dae.integration_ok ())
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429 {
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430 retval(0) = output;
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431 retval(1) = deriv_output;
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432 }
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433 else
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434 {
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435 if (nargout < 3)
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436 error ("dassl: %s", msg.c_str ());
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437
c07bee629973 2015 Code Sprint: use ovl ().
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438 retval(0) = Matrix ();
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439 retval(1) = Matrix ();
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440 }
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441
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442 retval(2) = static_cast<double> (dae.integration_state ());
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443 retval(3) = msg;
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444
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445 return retval;
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446 }
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447
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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448 /*
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449 ## dassl-1.m
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450 ##
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451 ## Test dassl() function
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452 ##
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453 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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454 ## Comalco Research and Technology
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455 ## 20 May 1998
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
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456 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents: 14138
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457 ## Problem
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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458 ##
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459 ## y1' = -y2, y1(0) = 1
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460 ## y2' = y1, y2(0) = 0
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461 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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462 ## Solution
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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463 ##
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464 ## y1(t) = cos(t)
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465 ## y2(t) = sin(t)
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466 ##
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467 %!function res = __f (x, xdot, t)
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468 %! res = [xdot(1)+x(2); xdot(2)-x(1)];
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469 %!endfunction
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470
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471 %!test
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472 %!
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473 %! x0 = [1; 0];
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474 %! xdot0 = [0; 1];
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475 %! t = (0:1:10)';
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476 %!
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477 %! tol = 100 * dassl_options ("relative tolerance");
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478 %!
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479 %! [x, xdot] = dassl ("__f", x0, xdot0, t);
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480 %!
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481 %! y = [cos(t), sin(t)];
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482 %!
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483 %! assert (x, y, tol);
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484
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485 ## dassl-2.m
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486 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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487 ## Test dassl() function
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488 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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489 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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diff changeset
490 ## Comalco Research and Technology
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491 ## 20 May 1998
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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diff changeset
492 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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493 ## Based on SLATEC quick check for DASSL by Linda Petzold
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494 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents: 14138
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495 ## Problem
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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496 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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497 ## x1' + 10*x1 = 0, x1(0) = 1
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498 ## x1 + x2 = 1, x2(0) = 0
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499 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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500 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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501 ## Solution
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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502 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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diff changeset
503 ## x1(t) = exp(-10*t)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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diff changeset
504 ## x2(t) = 1 - x(1)
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diff changeset
505 ##
14085
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506 %!function res = __f (x, xdot, t)
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507 %! res = [xdot(1)+10*x(1); x(1)+x(2)-1];
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508 %!endfunction
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
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diff changeset
509
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diff changeset
510 %!test
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511 %!
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512 %! x0 = [1; 0];
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513 %! xdot0 = [-10; 10];
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514 %! t = (0:0.2:1)';
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515 %!
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516 %! tol = 500 * dassl_options ("relative tolerance");
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517 %!
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518 %! [x, xdot] = dassl ("__f", x0, xdot0, t);
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diff changeset
519 %!
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520 %! y = [exp(-10*t), 1-exp(-10*t)];
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521 %!
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522 %! assert (x, y, tol);
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diff changeset
523
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diff changeset
524 %!test
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525 %! old_tol = dassl_options ("absolute tolerance");
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526 %! dassl_options ("absolute tolerance", eps);
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60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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527 %! assert (dassl_options ("absolute tolerance") == eps);
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528 %! ## Restore old value of tolerance
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diff changeset
529 %! dassl_options ("absolute tolerance", old_tol);
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diff changeset
530
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531 %!error dassl_options ("foo", 1, 2)
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532 */